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102143583864 = 23327236778889
BaseRepresentation
bin101111100100000111…
…0110110011001111000
3100202122120011200111200
41133020032312121320
53133142224140424
6114531335254200
710244133065100
oct1371016663170
9322576150450
10102143583864
113a356432413
121796781a360
13982a94a46a
144d2da14200
1529cc5108c9
hex17c83b6678

102143583864 has 144 divisors (see below), whose sum is σ = 322685344800. Its totient is φ = 29103992064.

The previous prime is 102143583851. The next prime is 102143583907. The reversal of 102143583864 is 468385341201.

102143583864 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 3 + 583 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255332 + ... + 1334220.

It is an arithmetic number, because the mean of its divisors is an integer number (2240870450).

Almost surely, 2102143583864 is an apocalyptic number.

102143583864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102143583864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161342672400).

102143583864 is an abundant number, since it is smaller than the sum of its proper divisors (220541760936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102143583864 is a wasteful number, since it uses less digits than its factorization.

102143583864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79282 (or 79268 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 102143583864 in words is "one hundred two billion, one hundred forty-three million, five hundred eighty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 367 392 441 504 588 734 882 1101 1176 1468 1764 2202 2569 2936 3303 3528 4404 5138 6606 7707 8808 10276 13212 15414 17983 20552 23121 26424 30828 35966 46242 53949 61656 71932 78889 92484 107898 143864 157778 161847 184968 215796 236667 315556 323694 431592 473334 552223 631112 647388 710001 946668 1104446 1294776 1420002 1656669 1893336 2208892 2840004 3313338 3865561 4417784 4970007 5680008 6626676 7731122 9940014 11596683 13253352 15462244 19880028 23193366 28952263 30924488 34790049 39760056 46386732 57904526 69580098 86856789 92773464 115809052 139160196 173713578 202665841 231618104 260570367 278320392 347427156 405331682 521140734 607997523 694854312 810663364 1042281468 1215995046 1418660887 1621326728 1823992569 2084562936 2431990092 2837321774 3647985138 4255982661 4863980184 5674643548 7295970276 8511965322 11349287096 12767947983 14591940552 17023930644 25535895966 34047861288 51071791932 102143583864